Abstract.
We perform ab initio calculations using a pseudo-potential plane-wave method based on density functional theory, within the local density approximation and generalized gradient approximation, in order to determine and predict the pressure dependence of structural and elastic properties of spinel compounds: MgAl2O4, MgGa2O4 and MgIn2O4. The results are in agreement with the available experimental data and other theoretical calculations.
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S.H. Wei, S.B. Zhang, Phys. Rev. B 63, 045112 (2001)
Shang-D. Mo, W.Y. Ching, Phys. Rev. B 54, 16555 (1996)
R. Khenata, M. Sahnoun, H. Baltache, M. Rérat, A.H. Reshak, Y. Al-Douri, B. Bouhafs, Phys. Lett. A 344, 271 (2005)
Yong-Nian Xu, W.Y. Ching, Phys. Rev. B 43, 4461 (1991)
A. Wanner, Materials Science and Engineering A 248, 35 (1998)
A. Martin Pandàs, Aurora Costales, M.A. Blanco, J.M. Recio, V. Luaña, Phys. Rev. B 62, 13970 (2000)
C. Aksel, B. Rand, F.L. Riley, P.D. Warren, J. Eur. Ceram. Soc. 22, 745 (2002)
A. Yoneda, J. Phys. Earth 38, 19 (1990)
A. Chopelas, Phys. Chem. Minerals 23, 25 (1996)
P. Thibaudeau, F. Gervais, J. Phys.: Condens. Matter 14, 3543 (2002)
A. Ibarra, R. Vila, F.A. Garner, J. Nuclear Materials 233, 1336 (1996)
I.V.A. Charkin, D.W. Cooke, V.T. Gritsyna, M. Ishimaru, K.E. Sickafus, Vacuum 58, 2 (2000)
T. Suzuki, G.S. Murugan, Y. Ohishi, J. Luminescence 113, 265 (2005)
R. Khenata, H. Baltache, M. Sahnoun, A. Bouhemadou, B. Bouhafs, M. Rérat, Algerian J. Adv. Materials 3, 171 (2006)
J.M. Leger, J. Haines, M. Schmidt, J.P. Petitet, A.S. Pereira, J.A.H. daJordana, Nature 383, 401 (1996)
W. Jones, L.J. Miles, Proc. Br. Ceram. Soc. 19, 161 (1971)
A. Govindaraj, E. Flahaut, C. Laurent, A. Peigney, A. Rousset, C.N.R. Rao, J. Mater. Res. 14, 2567 (1999)
G. Gusmano, G. Montesperelli, E. Traversa, G. Mattogno, J. Am. Ceram. Soc. 76, 743 (1993)
N.J. van der Laag, Environnemental effects on the fracture of oxide ceramics, Doctorat thesis, Technical University-Eindhoven (2002)
T. Irifune, K. Fujino, E. Ohtani, Nature 349, 409 (1991)
W. Kohn, L.J. Sham, Phys. Rev. A 140, 1133 (1965)
M.D. Segall, P.J.D. Lindan, M.J. Probert, C.J. Pickard, P.J. Hasnip, S.J. Clark, M.C. Payne, J. Phys.: Condens. Matter 14, 2717 (2002)
D.M. Ceperly, B.J. Alder, Phys. Rev. Lett. 45, 566 (1980)
J.P. Perdew, A. Zunger, Phys. Rev. B 23, 5048 (1981)
J.P. Perdew, S. Burke, M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996)
H.J. Monkhorst, J.D. Pack, Phys. Rev. B 13, 5188 (1976)
R.J. Hill, J.R. Graig, G.V. Gibbs, Phys. Chem. Miner. 4, 317 (1979)
L.W. Finger, R.M. Hazen, A.M. Hofmeister, Phys. Chem. Miner. 13, 215 (1986)
R. Pandey, J.D. Gale, S.K. Sampath, J.M. Recio, J. Am. Ceram. Soc. 82, 3337 (1999)
J.M. Recio, R. Franco, A.M. Pandàs, M.A. Blanco, L. Pueyo, Phys. Rev. B 63, 184101 (2001)
P. D'arco, B. Silvi, C. Roetti, R. Orlando, J. Geophys. Res. 96, 6107 (1991)
P. Fischer, Z. Kristallogr. 124, 275 (1967)
M.B. Kruger, J.H. Nguyen, W. Caldwell, R. Jeanloz, Phys. Rev. B 56, 1 (1997)
D. Semione, C. Dodane-Thiriet, D. Gosset, P. Daniel, M. Beauvy, J. Nuclear Materials 300, 151 (2002)
M. Catti, G. Valerio, R. Dovise, M. Causà, Phys. Rev. B 49, 14179 (1994)
F.D. Murnaghan, Proc. Natl. Acad. Sci. 30, 244 (1944)
V. Milman, M.C. Warren, J. Phys.: Condens. Matter 13, 214 (2001)
V. Milman, M.C. Warren, J. Phys.: Condens. Matter 13, 5585 (2001)
V. Milman, B. Winkler, M.I.J. Probert, J. Phys.: Condens. Matter 17, 2233 (2005)
G.V. Lewis, R.A.C. Catlow, J. Phys. C: Solid State Phys. 18, 1149 (1985)
U.D. Wdowik, K. Parliñski, A. Siegel, J. Phys. Chem. Solids 67, 1477 (2006)
H.J. Reichman, S.D. Jacobsen, American Mineralogist 89, 1061 (2004)
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Bouhemadou, A., Khenata, R. & Zerarga, F. Ab initio study of the structural and elastic properties of spinels MgX2O4(X = Al, Ga, In) under pressure. Eur. Phys. J. B 56, 1–5 (2007). https://doi.org/10.1140/epjb/e2007-00003-1
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DOI: https://doi.org/10.1140/epjb/e2007-00003-1